lim log(1+2x)/(3^x-1)

X-> 0

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- Aug 17th 2011, 06:32 AManigeolimit
lim log(1+2x)/(3^x-1)

X-> 0 - Aug 17th 2011, 06:35 AMProve ItRe: limit
Is this $\displaystyle \displaystyle \lim_{x \to 0}\frac{\ln{(1 + 2x)}}{3^x - 1}$ or $\displaystyle \displaystyle \lim_{x \to 0}\ln{\left(\frac{1 + 2x}{3^x - 1}\right)}$?

- Aug 17th 2011, 06:47 AMSironRe: limit
Use l'Hopital's rule.

- Aug 20th 2011, 08:13 PMKrizalidRe: limit
I think it's the first one, and there's no need to differentiate, just use basic limits.